the question D only

Here is the notes for question D plz based on the notes thank you

here is the example and notes thank you very much!

An Example of Process Capability Ratio (Cpk) To check whether an in-control production process is capable to produce products to meet the weight requirement. Weight requirement (User's Specification): [7.50 grams, 10.50 grams] Specification width =(10.507.50)=3grams Process: mean =9.20 grams; s.d. =0.30 grams Since the process mean is not at the center of the specification, Cpk should be determined to check the process capability Upk Used when a process mean is not centered at the specification interval. Compute Cpk Question: If the process standard deviation is increased by 0.06 grams from 0.3 grams to 0.36 grams, is the process still capable to produce good quality products? An Example of Process Capability Ratio (Cpk) 1. Compute the ratio for Lower Specification 3ProcessMean-LowerSpecification=3(.36)9.207.50=1.57 2. Compute the ratio for Upper Specification 3UpperSpecification-ProcessMean=3(.36)10.509.20=1.20 3. Cpk=Min(1.57,1.20)=1.201.33 : This process is Notes for Submissions 1. The due date of this assignment is 20 October 2023 (Section 3: Before 12:30pm; Section 4: Before 11:00am). 2. Your answers should be properly presented and in English. 3. You should provide your name, student number and section number on the first page of your answer sheets. 4. You are required to submit a hard copy of your answers to the assignment by the due date. Late assignments will not be accepted, and zero marks will be given. 5. You should provide clear labels for all charts. 6. You should provide clear units for your numerical answers, otherwise your answers will be considered as wrong. 7. Warning: Cases of plagiarism will be forwarded to the Student Disciplinary Committee for consideration. Question 1: [30 Mark] The quality inspector of a factory needs to make sure that the machine used for cutting a component is working properly. Every hour the inspector takes a random sample of eight (8) components from the output and measures the length (in centimeters) of each component. The following table shows the statistics on 12 such samples. a. Why Phase-I SPC control charts should be used for this case? [4 Marks] b. What type(s) of control chart should be used for controlling the length of the component? Why? [4 marks] c. Construct Phase-I control charts based on three-sigma limits. What conclusion can you draw based on the control charts? Provide your explanations. [12 marks] d. If the specification range for the length of the component is between 7.95cm and 8.05cm, with the industrial standard, is the cutting process capable of meeting the specification? Justify your answer. [10 marks] An Example of Process Capability Ratio (Cpk) \begin{tabular}{|l|l|} \hline The control limits for X-Chart: & The control limits for R-Chart: \\ \hline Mean =R & Mean =R \\ \hline 3R=A2R & 3RU=(D41)Rr3RL=(1D3)R \\ \hlineUCLR(3R)=x+A2R & UCLR(3R)=R+3RU=D4R \\ LCLR(3R)=xA2R & LCLR(3R)=R3RL=D3R \\ UCLR(2R)=x+32A2R & UCLR(2R)=R+2RU=31(2D4+1)R \\ LCLR(2R)=x32A2R & LCLR(2R)=R2RL=31(2D3+1)R \\ UCLR(1R)=x+31A2R & UCLR(1R)=R+1RU=31(D4+2)R \\ LCLX(1R)=x31A2R & LCLR(1R)=R1RL=31(D3+2)R \\ \hline \end{tabular} Process Capability How large should the process standard deviation be in order to accept the process is capable of meeting the weight specification? When a process mean is not centered, compute Cpk Cpk=Min{3UpperSpecification,3LowerSpecification}=Min{310.509.20,39.207.50}=Min{31.3,31.7} To ensure Cpk1.33, it is required that 31.31.33 To ensure Cpk1.33, it is required that 1.3/(3)1.33, 0.33 grams in order to accept the process is capable of meeting the specification. Process Capability Ratio (Cpk) This longer part should also includes 4 s.d. at least. If this shorter part includes 4 s.d. at least, then Cpk1.33 Specification range 10-51